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Finding the Fourth Proportional to 299,368.80, 413,118.64 and 178,447.76

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Solution

The fourth proportional to 299,368.80, 413,118.64 and 178,447.76 is: 246,251.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,368.80 : 413,118.64 = 178,447.76 : x
  2. Step 2: Convert to fraction form
    299,368.80/413,118.64 = 178,447.76/x
  3. Step 3: Cross multiply
    299,368.80x = 413,118.64 × 178,447.76
  4. Step 4: Simplify right side
    299,368.80x = 73,720,095,922.25
  5. Step 5: Solve for x
    x = 73,720,095,922.25/299,368.80
  6. Step 6: Final answer
    x = 246,251.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.